(a) Explanation Calculate the heat addition in the cycle. Q add = ( m a c v ) ( T 3 − T 2 ) (I) Here, heat addition in the cycle is Q add , mass of air is m a , specific heat at constant volume is c v , temperature at state 3 is T 3 and temperature at state 2 is T 2 . Write the expression for compression ratio. r = V 1 V 2 (II) Here, compression ratio is r , volume at state 1 is V 1 and volume at state 2 is V 2 . Write the expression for temperature at state 2. T 2 = ( T 1 ) ( V 1 V 2 ) k − 1 (III) Here, adiabatic index is k and temperature at state 1 is T 1 . Write the expression for temperature at state 4. T 4 = ( 1 r ) k − 1 ( T 3 ) (IV) Here, temperature at state 4 is T 4 . Write the expression for mass of air. m a = P 1 V 1 R T 1 (V) Here, gas constant for air is R and pressure at state 1 is P 1 . Conclusion: Substitute 8 for V 1 V 2 in Equation (II). r = 8 Substitute 290 K for T 1 , 8 for V 1 V 2 and 1.4 for k in Equation (II). T 2 = ( 290 K ) ( 8 ) 1.4 − 1 = ( 290 K ) ( 2.29739 ) ≈ 666.245 K Substitute 8 for r , 1.4 for k and 2200 K for T 3 in Equation (IV). T 4 = ( 1 8 ) 1.4 − 1 ( 2200 K ) = ( 2200 K ) ( 0.43527 ) ≈ 957.59 K Convert the unit of pressure P 1 from bar to N / m 2 . P 1 = 1 bar = ( 11 bar ) ( 10 5 N / m 2 1 bar ) = 10 5 N / m 2 Convert the unit of volume V 1 from cm 3 to m 3 (b) To determine The net work of the cycle. (c) To determine The thermal efficiency of the cycle. (d) To determine The mean effective pressure of the cycle.

Fundamentals of Engineering Thermodynamics

8th Edition

ISBN: 9781118412930

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Question

Chapter 9.14, Problem 5P

(a)

To determine

The heat addition in the cycle.

(b)

To determine

The net work of the cycle.

(c)

To determine

The thermal efficiency of the cycle.

(d)

To determine

The mean effective pressure of the cycle.

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Chapter 9.14, Problem 3P

Chapter 9.14, Problem 6P

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Fundamentals of Engineering Thermodynamics

Ch. 9.14 - Prob. 1E Ch. 9.14 - Prob. 2E Ch. 9.14 - Prob. 3E Ch. 9.14 - Prob. 4E Ch. 9.14 - Prob. 5E Ch. 9.14 - 6. What is the purpose of a rear diffuser on a...Ch. 9.14 - 7. What is the meaning of the octane rating that...Ch. 9.14 - Prob. 8E Ch. 9.14 - Prob. 9E Ch. 9.14 - 10. What is the purpose of the gas turbine–powered...

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